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Finding the Fourth Proportional to 5,948.88, 8,209.44 and 3,430.95

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Solution

The fourth proportional to 5,948.88, 8,209.44 and 3,430.95 is: 4,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.88 : 8,209.44 = 3,430.95 : x
  2. Step 2: Convert to fraction form
    5,948.88/8,209.44 = 3,430.95/x
  3. Step 3: Cross multiply
    5,948.88x = 8,209.44 × 3,430.95
  4. Step 4: Simplify right side
    5,948.88x = 28,166,147.38
  5. Step 5: Solve for x
    x = 28,166,147.38/5,948.88
  6. Step 6: Final answer
    x = 4,734.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.